# Continuously transforming kinks into compactons in the O(3)-sigma model

## TL;DR

This paper explores how vortex solutions in the O(3)-sigma model with Chern-Simons gauge fields can be transformed into compactons and kink-like solutions through numerical methods and model modifications, revealing new soliton behaviors.

## Contribution

It introduces a method to transform topological and nontopological solitons into compacton and kink-like solutions by numerical analysis and model modifications.

## Key findings

- Topological solutions can be transformed into compactons.
- Nontopological solutions become kink-like with dielectric constant.
- Degeneracy of topological solitons in a sector is discussed.

## Abstract

In this work, we investigate the solutions of vortices in the O(3)-sigma model with the gauge field governed by the Chern-Simons term and subject to a hyperbolic self-dual potential. We show that this model admits both topological and nontopological solitons solutions. By means of numerical analysis, we realize that the topological solutions of the model can be transformed into compacton-like solutions. On the other hand, after modifying the model by the introduction of a dielectric constant, an interesting feature appears; namely, the nontopological solutions can be transformed into kink-like solutions through the numerical variation of the dielectric constant. Finally, we discuss the degeneracy for the topological solitons in a given sector and present the numerical solutions of the first model.